20 citations · 47 across the 6 of their papers we have counts for
6 papers
Strongly uncontrollable network topologies
Cesar O. Aguilar
In this paper, we present a class of network topologies under which the Laplacian consensus dynamics exhibits undesirable controllability properties under a broadcast control signa…
The role of the anti-regular graph in the spectral analysis of threshold graphs
Cesar O. Aguilar, Matthew Ficarra, Natalie Schurman +1
The purpose of this paper is to highlight the role played by the anti-regular graph within the class of threshold graphs. Using the fact that every threshold graph contains a maxim…
Spectral characterizations of anti-regular graphs
Cesar O. Aguilar, Joon-yeob Lee, Eric Piato +1
We study the eigenvalues of the unique connected anti-regular graph . Using Chebyshev polynomials of the second kind, we obtain a trigonometric equation whose roots are the ei…
Anti-regular graphs with loops and their spectrum
Cesar O. Aguilar
We characterize the graphs with loops whose degree sequences have no repeated values and find their adjacency spectrum. In the case of simple graphs, such graphs are called anti-re…
Model Predictive Regulation
Cesar O. Aguilar, Arthur J. Krener
We show how optimal nonlinear regulation can be achieved in a model predictive control fashion.
Patchy Solution of a Francis-Byrnes-Isidori Partial Differential Equation
Cesar O. Aguilar, Arthur J. Krener
The solution to the nonlinear output regulation problem requires one to solve a first order PDE, known as the Francis-Byrnes-Isidori (FBI) equations. In this paper we propose a met…